Wavelet-based Image Enhancement Using Fourth Order PDE

Ehsan Nadernejad, Søren Forchhammer

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

Abstract

The presence of noise interference signal may cause problems in signal and image analysis; hence signal and image de-noising is often used as a preprocessing stage in many signal processing applications. In this paper, a new method is presented for image de-noising based on fourth order partial differential equations (PDEs) and wavelet transform. In the existing wavelet thresholding methods, the final noise reduced image has limited improvement. It is due to keeping the approximate coefficients of the image unchanged. These coefficients have the main information of the image. Since noise affects both the approximate and detail coefficients, in this research, the anisotropic diffusion technique for noise reduction is applied on the approximation band to alleviate the deficiency of the existing wavelet thresholding methods. The proposed method was applied on several standard noisy images and the results indicate superiority of the proposed method over the existing waveletbased image de-noising, anisotropic diffusion, and wiener filtering techniques.
Original languageEnglish
Title of host publication2011 IEEE 7th International Symposium on Intelligent Signal Processing (WISP)
PublisherIEEE
Publication date2011
Pages116-121
ISBN (Print)978-1-4577-1403-0
DOIs
Publication statusPublished - 2011
EventIEEE International symposium on Intelligent Signal Processing - Floriana, Malta
Duration: 1 Jan 2011 → …

Conference

ConferenceIEEE International symposium on Intelligent Signal Processing
CityFloriana, Malta
Period01/01/2011 → …

Keywords

  • Wavelet
  • PDE
  • Image Enhancement

Cite this

Nadernejad, E., & Forchhammer, S. (2011). Wavelet-based Image Enhancement Using Fourth Order PDE. In 2011 IEEE 7th International Symposium on Intelligent Signal Processing (WISP) (pp. 116-121). IEEE. https://doi.org/10.1109/WISP.2011.6051688